A384508 Nonnegative integers k such that the digits of k include the digits of the digital sum of k as a (not necessarily contiguous) subsequence.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 109, 119, 129, 139, 149, 159, 169, 179, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 300, 400, 500, 600, 700, 800, 900, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 1000

Offset

1,3

Links

Felix Huber, Table of n, a(n) for n = 1..10000

Example

196 is a term because 1 + 9 + 6 = 16 and 1, 6 is a subsequence of 1, 9, 6.

Maple

A384508:=proc(n)
    option remember;
    local k, L;
    if n=1 then
        0
    else
        for k from procname(n-1)+1 do
            L:=convert(k, 'base', 10);
            if ArrayTools:-IsSubsequence(convert(add(L), 'base', 10), L) then
                return k
            fi
        od
    fi;
end proc;
seq(A384508(n), n=1..58);

Crossrefs

Cf. A052018, A005349, A007953, A046829.

Sequence in context: A244890 A032945 A236402 * A052018 A352461 A302768

Adjacent sequences: A384505 A384506 A384507 * A384509 A384510 A384511

Keyword

nonn,base,easy

Author

Felix Huber, Jun 26 2025

Status

approved